arXiv subjects

Yuanmei Li

Publications and source records attributed to Yuanmei Li.

4 recordsLinked to original sources

arXiv2026

Synchronization induces Bell violations in a model of walking droplets

We consider a reduced Lorenz-like model that describes two walking droplets interacting through their mutual wave field, and investigate the emergence of strong bipartite correlations in this classical wave-particle system. The coupled nonlinear dynamics admit two invariant synchronization manifolds associated with correlated and anticorrelated states, within which the droplets display synchronized chaotic intermittency. Employing measurement protocols inspired by Bell experiments, we compute position correlations from the long-time dynamics and identify parameter regimes for which the CHSH-Bell parameter $S$ exceeds 2, corresponding to violations of Bell's Inequality. We further introduce a procedure for isolating the two subsystems, thereby ensuring the absence of wave-mediated signaling between them. Changing measurement settings following this isolation allows us to execute dynamic Bell tests in which violations persist. Our results demonstrate that nonlinear deterministic dynamics can produce Bell violations through wave-mediated synchronization mechanisms; moreover, these violations may be rationalized on the grounds that the wave form is influenced by the measurement settings. We thus provide a consistent dynamical framework for the appearance of classical entanglement in pilot-wave systems.

nlin.CD↗

arXiv2026

Emergent Active Clusters through Wave-Mediated Interactions

Collective behaviour in active matter usually emerges from interactions between individually stable units. Here we demonstrate a different route to collective organization using droplets on a vibrated fluid bath. Large droplets that are unstable in isolation become persistent active clusters through a shared Faraday wavefield. The same wave-mediated interactions that stabilize these clusters also govern their collective dynamics, producing stationary, rotating, and translating states as droplet size is varied. Our results show how field-mediated interactions can transform individually unstable particles into coherent active entities with emergent structure and function.

cond-mat.soft↗

arXiv2024

Modular Study of a Force-Magnetic Coupling System

A magnetic-mechanical oscillating system consists of two identical leaf springs, a non-magnetic base, and some magnets. The leaf springs are fixed at the bottom to the non-magnetic base, while the magnet is attached to the top of the leaf springs. This paper investigates the overall motion characteristics of the magnetic-mechanical oscillating system. Adopting the modular modeling concept, we simplify the system into three inter-coupled modules: the leaf springs, magnetic interactions, and the system's dissipation process. We conduct physical modeling and theoretical analysis on these modules and derived the system's dynamic equations. The research indicates that the system is a normal mode system with two degrees of freedom. In addition, we alter parameters and conduct multiple innovative experiments, obtaining intuitive vibration images that characterize the vibration modes and the periodic energy transfer. Furthermore, we employ the simulation software COMSOL Multiphysics simulation to substitute the theory for auxiliary validation, achieving a comprehensive research loop of theory-experiment-simulation. The experimental results show good consistency with the theoretical calculations and simulation results. This research provides a good teaching case for magnetic-coupling complex systems. This modular analysis and rather practical experimental design could solve the previous difficulty that the solution to such problem is too complex, and is conducive to the implementation of education.

physics.ed-ph↗

arXiv2024

The Machiavellian frontier of stable mechanisms

The impossibility theorem in Roth (1982) states that no stable mechanism satisfies strategy-proofness. This paper explores the Machiavellian frontier of stable mechanisms by weakening strategy-proofness. For a fixed mechanism $φ$ and a true preference profile $\succ$, a $(φ,\succ)$-boost mispresentation of agent i is a preference of i that is obtained by (i) raising the ranking of the truth-telling assignment $φ_i(\succ)$, and (ii) keeping rankings unchanged above the new position of this truth-telling assignment. We require a matching mechanism $φ$ neither punish nor reward any such misrepresentation, and define such axiom as $φ$-boost-invariance. This is strictly weaker than requiring strategy-proofness. We show that no stable mechanism $φ$ satisfies $φ$-boost-invariance. Our negative result strengthens the Roth Impossibility Theorem.

econ.TH↗